$CP$ Violation in $b$- and $c$-hadron decays at LHCb

Testing the Standard Model of particle physics by precision measurements of CP violating observables in the decays of b and c hadrons has been one of the design goals of the LHCb experiment. World-leading measurements have been performed of the semileptonic asymmetry, $a^{sl}_s$, and of the mixing-induced CP-violating phase $\phi_s$ in the $B^0_s {\overline B}{}^0_s$ system. The CKM angle $\gamma$ is still the least known angle of the Unitarity Triangle, and the only one easily accessible using tree-level decays. A recent combination of LHCb measurements in various $B \to DK$ decay modes has yielded the most precise determination of $\gamma$ from a single experiment to date. The LHCb experiment is collecting unprecedented samples of beauty baryons, allowing for the first time to study CP violating observables in their decays. A recent analysis provided the first evidence for CP violation in the beauty baryon sector. Finally, LHCb has the largest samples of charmed hadron decays collected by any experiment to date. These samples yield some of the world's most sensitive searches for direct and indirect CP violation in the charm sector.